Question
Which is the greatest of these fractions: 1/10,2/5,3/8,3/20,3/4?
Answers
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To compare fractions with different denominators, we need to find a common denominator.
The least common multiple (LCM) of the denominators 10, 5, 8, 20, and 4 is 40.
Now we'll convert each fraction to have a denominator of 40:
1/10 = 4/40
2/5 = 16/40
3/8 = 15/40
3/20 = 6/40
3/4 = 30/40
So the fractions, in order from least to greatest, are:
4/40, 6/40, 15/40, 16/40, 30/40
Therefore, the greatest fraction is 30/40, which simplifies to 3/4.
The least common multiple (LCM) of the denominators 10, 5, 8, 20, and 4 is 40.
Now we'll convert each fraction to have a denominator of 40:
1/10 = 4/40
2/5 = 16/40
3/8 = 15/40
3/20 = 6/40
3/4 = 30/40
So the fractions, in order from least to greatest, are:
4/40, 6/40, 15/40, 16/40, 30/40
Therefore, the greatest fraction is 30/40, which simplifies to 3/4.